Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-2 Simplifying Radicals - Lesson Check: 9

Answer

The answer is below.

Work Step by Step

In order to see if a radical is in simplified form, see if any of its factors are perfect squares (meaning that their square root will be an integer). Consider $ \sqrt 12$. It has factors of 3 and 4. 3 is not a perfect square, but 4 is. Thus, we know we can simplify $ \sqrt 12$ to $ 2\sqrt 3$.
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